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Finding the Fourth Proportional to 7,963.23, 11,913.96 and 5,747.16

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Solution

The fourth proportional to 7,963.23, 11,913.96 and 5,747.16 is: 8,598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.23 : 11,913.96 = 5,747.16 : x
  2. Step 2: Convert to fraction form
    7,963.23/11,913.96 = 5,747.16/x
  3. Step 3: Cross multiply
    7,963.23x = 11,913.96 × 5,747.16
  4. Step 4: Simplify right side
    7,963.23x = 68,471,434.35
  5. Step 5: Solve for x
    x = 68,471,434.35/7,963.23
  6. Step 6: Final answer
    x = 8,598.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.